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	year = 2003
}

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%%% PARA 10th Spheric %%%

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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STABILITY
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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%issn = {1469-7645},
%month = {7},
%numpages = {24},
%doi = {10.1017/S0022112010001217},
%URL = {http://journals.cambridge.org/article_S0022112010001217},
}
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}

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number={6},
title={Variants of Dynamic Mode Decomposition: Boundary Condition, {K}oopman, and {F}ourier Analyses},
pages={887-915},
%language={English}
%issn={0938-8974},
%url={http://dx.doi.org/10.1007/s00332-012-9130-9},
%publisher={Springer-Verlag},
%keywords={Koopman operator; Dynamic mode decomposition; Time series; Boundary conditions; Discrete Fourier transform; Approximate eigenvalues and eigenvectors; Navier–Stokes equations; 35G61; 35P15; 37M10; 37N10; 47B33},
%doi={10.1007/s00332-012-9130-9},
}

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Title = {{Bifurcation analysis for timesteppers}},
Booktitle = {{Numerical methods for bifurcation problems and large-scale dynamical systems}},
Year = {{2000}},
Volume = {{119}},
Pages = {{453-466}},
Series = {{Ima volumes in mathematics and its applications}},
%Editor = {{Doedel, E and Tuckerman, LS}},
%Note = {{Workshop on Numerical Methods for Large-Scale Dynamical Systems,
%   MINNEAPOLIS, MN, SEP 29-OCT 03, 1997}},
%Abstract = {{A collection of methods is presented to adapt a pre-existing
%   time-stepping code to perform various bifurcation-theoretic tasks. It
%   is shown that the implicit linear step of a time-stepping code can
%   serve as a highly effective preconditioner for solving linear systems
%   involving the full Jacobian via conjugate gradient iteration. The
%   methods presented for steady-state solving, continuation, direct
%   calculation of bifurcation points tall via Newton's method), and linear
%   stability analysis (via the inverse power method) rely on this
%   preconditioning. Another set of methods can have as their basis any
%   time-stepping method. These perform various types of stability
%   analyses: linear stability analysis via the exponential power method,
%   Floquet stability analysis of a limit cycle, and nonlinear stability
%   analysis for determining the character of a bifurcation. All of the
%   methods presented require minimal changes to the time-stepping code.}},
%Publisher = {{SPRINGER}},
%Address = {{233 SPRING STREET, NEW YORK, NY 10013, UNITED STATES}},
%Type = {{Proceedings Paper}},
%ISBN = {{0-387-98970-6}},
}

@article {IJNMF_Arnoldi,
author = {Barkley, D. and Blackburn, H.M. and Sherwin, S.J.},
title = {Direct optimal growth analysis for timesteppers},
journal = {International Journal for Numerical Methods in Fluids},
volume = {57},
number = {9},
year = {2008},
pages = {1435--1458},
%keywords = {large-scale stability analysis, transient growth, adjoint, iterative eigenvalue problem, linearized Navier–Stokes, SVD},
%publisher = {John Wiley & Sons, Ltd.},
%issn = {1097-0363},
%url = {http://dx.doi.org/10.1002/fld.1824},
%doi = {10.1002/fld.1824},
}


@article{Bagheri_Cyl,
author = {Bagheri,S.},
title = {Koopman-mode decomposition of the cylinder wake},
journal = {Journal of Fluid Mechanics},
volume = {726},
month = {7},
year = {2013},
issn = {1469-7645},
pages = {596--623},
numpages = {28},
%doi = {10.1017/jfm.2013.249},
%URL = {http://journals.cambridge.org/article_S0022112013002498},
}

@article{Mezic_koopman,
author = {Mezi\'{c}, I.},
title = {Analysis of Fluid Flows via Spectral Properties of the {K}oopman Operator},
journal = {Annual Review of Fluid Mechanics},
volume = {45},
number = {1},
pages = {357-378},
year = {2013},
%doi = {10.1146/annurev-fluid-011212-140652},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev-fluid-011212-140652},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev-fluid-011212-140652}
}

@article{Schmid_annual,
author = {Schmid, P.J.},
title = {Nonmodal Stability Theory},
journal = {Annual Review of Fluid Mechanics},
volume = {39},
number = {1},
pages = {129-162},
year = {2007},
%doi = {10.1146/annurev.fluid.38.050304.092139},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.fluid.38.050304.092139},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev.fluid.38.050304.092139}
}

@article{Vassilios_annual,
author = {Theofilis, V.},
title = {Global Linear Instability},
journal = {Annual Review of Fluid Mechanics},
volume = {43},
number = {1},
pages = {319-352},
year = {2011},
%doi = {10.1146/annurev-fluid-122109-160705},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev-fluid-122109-160705},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev-fluid-122109-160705}
}

@article{Saric_annual,
author = {Saric, W.S. and Reed, H.L. and White, E.B.},
title = {Stability and transition of three-dimensional boundary layers},
journal = {Annual Review of Fluid Mechanics},
volume = {35},
number = {1},
pages = {413-440},
year = {2003},
%doi = {10.1146/annurev.fluid.35.101101.161045},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.fluid.35.101101.161045},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev.fluid.35.101101.161045}
}

@article{Chomaz_annual,
author = {Chomaz, J.M.},
title = {Global instabilities in spatially developing flows: Non-Normality and Nonlinearity},
journal = {Annual Review of Fluid Mechanics},
volume = {37},
number = {1},
pages = {357-392},
year = {2005},
%doi = {10.1146/annurev.fluid.37.061903.175810},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.fluid.37.061903.175810},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev.fluid.37.061903.175810}
}

@article{Berkooz_POD,
author = {Berkooz, G. and Holmes, P. and Lumley, J.L.},
title = {The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows},
journal = {Annual Review of Fluid Mechanics},
volume = {25},
number = {1},
pages = {539-575},
year = {1993},
%doi = {10.1146/annurev.fl.25.010193.002543},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.fl.25.010193.002543},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev.fl.25.010193.002543}
}

@article{Luchini_annual,
author = {Luchini, P. and Bottaro, A.},
title = {Adjoint Equations in Stability Analysis},
journal = {Annual Review of Fluid Mechanics},
volume = {46},
number = {1},
year = {2014},
%doi = {10.1146/annurev-fluid-010313-141253},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev-fluid-010313-141253},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev-fluid-010313-141253}
}


@article{Huerre_annual,
author = {Huerre, P. and Monkewitz, P.A.},
title = {Local and Global Instabilities in Spatially Developing Flows},
journal = {Annual Review of Fluid Mechanics},
volume = {22},
number = {1},
pages = {473-537},
year = {1990},
%doi = {10.1146/annurev.fl.22.010190.002353},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.fl.22.010190.002353},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev.fl.22.010190.002353}
}

@article{Alizard201263,
title = "A domain decomposition matrix-free method for global linear stability ",
journal = "Computers \& Fluids ",
volume = "66",
number = "0",
pages = "63 - 84",
year = "2012",
author = "F. Alizard and J.C. Robinet and X. Gloerfelt",
%keywords = "Large scale structures dynamics in open-flows",
%keywords = "Global stability analysis",
%keywords = "Matrix-free method",
%keywords = "High-order finite difference scheme",
%keywords = "Incompressible \{DNS\} solver",
%keywords = "Multidomains method",
%keywords = "Continuity influence matrix technique "
%note = "",
%issn = "0045-7930",
%doi = "http://dx.doi.org/10.1016/j.compfluid.2012.05.017",
%url = "http://www.sciencedirect.com/science/article/pii/S0045793012002216",
}



@article{Knoll_matrixfree,
title = "Jacobian-free {N}ewton-{K}rylov methods: a survey of approaches and applications ",
journal = "Journal of Computational Physics ",
volume = "193",
number = "2",
pages = "357 - 397",
year = "2004",
author = "D.A. Knoll and D.E. Keyes"
}

@article{Bagheri117430,
author = {Bagheri, S. and {\AA}kervik, E. and Brandt, L. and Henningson, D.S.},
journal = {AIAA Journal},
number = {5},
pages = {1057--1068},
title = {Matrix-free methods for the stability and control of boundary layers},
volume = {47},
year = {2009}
%note = {QC 20100927 AIAA 5th Theoretical Fluid Mechanics Meeting, Seattle, WA, JUN 23-26, 2008},
%institution = {KTH, Mechanics},
}


%%%%%%%%%%%%%%%%
%% SENSITIVITY
%%%%%%%%%%%%%%%%

@article{MARQUET_JFM,
author = {Marquet, O. and Sipp, D. and Jacquin, L.},
title = {Sensitivity analysis and passive control of cylinder flow},
journal = {Journal of Fluid Mechanics},
volume = {615},
month = {11},
year = {2008},
pages = {221--252},
%numpages = {32},
%doi = {10.1017/S0022112008003662},
%URL = {http://journals.cambridge.org/article_S0022112008003662},
}

@article{GIANNETTI_JFM,
author = {Giannetti,F. and Luchini,P.},
title = {Structural sensitivity of the first instability of the cylinder wake},
journal = {Journal of Fluid Mechanics},
volume = {581},
month = {6},
year = {2007},
pages = {167--197},
%numpages = {31},
%doi = {10.1017/S0022112007005654},
%URL = {http://journals.cambridge.org/article_S0022112007005654},
}

@article{Rowley_JFM,
author = {Rowley,C.W. and Mezia,I and Bagheri,S and Schlatter,P and Henningson,D.S.},
title = {Spectral analysis of nonlinear flows},
journal = {Journal of Fluid Mechanics},
volume = {641},
month = {12},
year = {2009},
pages = {115--127},
numpages = {13},
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% NUMERICS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@BOOK{Sherwin,
  AUTHOR =       {G.E. Karniadakis and  S. Sherwin},
  TITLE =        {Spectral/hp Element Methods for Computational Fluid Dynamics},
  PUBLISHER =    {Oxford Science Publications},
  YEAR =         {2005},
   % editor =       {},

}

@article{Ferrer2012,
title = "A high order Discontinuous {G}alerkin--{F}ourier incompressible 3D {N}avier-{S}tokes solver with rotating sliding meshes",
author = "E. Ferrer and R.H.J. Willden",
journal = "Journal of Computational Physics",
 volume = {231},
     number = {21},
     pages = {7037--7056},
     year = {2012},
%keywords = "Incompressible Navier-Stokes",
%keywords = "Arbitrary Lagrangian-Eulerian",
%keywords = "High order Discontinuous Galerkin",
%keywords = "Rotating sliding mesh",
%keywords = "Symmetric Interior Penalty Galerkin",
%keywords = "Modal basis functions",
%keywords = "Curved boundaries",
%keywords = "Fourier extension"
}
@article{Ferrer2010,
author = "E. Ferrer and R.H.J. Willden",
title = "A high order discontinuous {G}alerkin Finite Element solver for the incompressible {N}avier-{S}tokes equations",
journal = "Computers \& Fluids",
volume = "46",
number = "1",
pages = "224--230",
year = "2011"
%note = "",
%issn = "0045-7930",
%doi = "DOI: 10.1016/j.compfluid.2010.10.018",
%url = "http://www.sciencedirect.com/science/article/B6V26-51D15S2-5/2/927b7fc1e1d1967e961f44b3cd71cc58",
%
%keywords = "Incompressible {N}avier--{S}tokes",
%keywords = "Discontinuous {G}alerkin",
%keywords = "Symmetric Interior Penalty {G}alerkin",
%keywords = "High order",
%keywords = "Splitting method",
%keywords = "Modal basis"
}
@PHDTHESIS{FerrerPhD,
  AUTHOR =       {E. Ferrer},
  TITLE =        {A high order Discontinuous {G}alerkin--{F}ourier incompressible 3D {N}avier-{S}tokes solver with rotating sliding meshes for simulating cross-flow turbines},
  SCHOOL =       {University of Oxford},
  YEAR =         {2012},
%  type =         {},
%  address =      {},
%  month =        {},
%  note =         {},
%  abstract =     {},
%  keywords =     {},
%  source =       {},
}
@ARTICLE{AMR_Sipp,
  AUTHOR =       {Sipp, D. and Barbagallo, A. and Marquet, O. and Meliga, P.},
  TITLE =        {Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach},
  JOURNAL =      {Applied Mechanics Reviews},
  YEAR =         {2010},
  volume =       {63},
  number =       {3},
%  pages =        {},
%  month =        {},
%  note =         {},
%  abstract =     {},
%  keywords =     {},
%  source =       {},
}


@book{Saad:92,
  address = {Manchester},
  author = {Saad, Y.},
  publisher = {Manchester University Press},
  title = {Numerical Methods for Large Eigenvalue Problems},
    year = {1992}
  %url = {http://www-users.cs.umn.edu/$\sim$saad/books.html},
%  urlaccessdate = {05 out.\ 2002},
}


@article{Lshaped_Cav,
    author = {Oosterlee, C.W. and Wesseling, P. and Segal, A. and Brakkee, E.},
    journal = {Int. J. Numer. Meth. Fluids},
    number = {4},
    pages = {301--321},
    title = {{Benchmark solutions for the incompressible {N}avier-{S}tokes equations in general coordinates on staggered grids}},
    volume = {17},
    year = {1993}
        %abstract = {{Benchmark problems are solved with the steady incompressible Navier–Stokes equations discretized with a finite volume method in general curvilinear co-ordinates on a staggered grid. The problems solved are skewed driven cavity problems, recently proposed as non-orthogonal grid benchmark problems. The system of discretized equations is solved efficiently with a non-linear multigrid algorithm, in which a robust line smoother is implemented. Furthermore, another benchmark problem is introduced and solved in which a 90° change in grid line direction occurs.}},
    %url = {http://dx.doi.org/10.1002/fld.1650170404},
    %posted-at = {2011-08-29 19:52:30},
    %priority = {2},
    %publisher = {John Wiley \& Sons, Ltd},
        %keywords = {benchmark, co-ordinates, general, grid, incompressible, multigrid, navierstokes, solution, staggered},
    %citeulike-article-id = {9725168},
    %citeulike-linkout-0 = {http://dx.doi.org/10.1002/fld.1650170404},
    %doi = {10.1002/fld.1650170404},
}
@article {Lshaped_Cav2,
author = {Perng, C.Y. and Street, R.L.},
title = {A coupled multigrid-domain-splitting technique for simulating incompressible flows in geometrically complex domains},
journal = {International Journal for Numerical Methods in Fluids},
volume = {13},
number = {3},
pages = {269--286},
year = {1991},
%publisher = {John Wiley & Sons, Ltd},
%issn = {1097-0363},
%url = {http://dx.doi.org/10.1002/fld.1650130302},
%doi = {10.1002/fld.1650130302},
%keywords = {Unsteady, Navier-Stokes, Domain decomposition, Schwarz, QUICK, Multigrid},
}

@article{Cavity_annurev,
author = {Shankar, P.N. and Deshpande, M.D.},
title = {Fluid Mechanics in the Driven Cavity},
journal = {Annual Review of Fluid Mechanics},
volume = {32},
number = {1},
pages = {93-136},
year = {2000},
%doi = {10.1146/annurev.fluid.32.1.93},
%
%URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.fluid.32.1.93},
%eprint = {http://www.annualreviews.org/doi/pdf/10.1146/annurev.fluid.32.1.93}
}
@incollection{Giannetti_cavity,
author={Giannetti, F. and Luchini, P. and Marino, L.},
year={2010},
booktitle={Seventh IUTAM Symposium on Laminar-Turbulent Transition},
volume={18},
title={Characterization of the three-dimensional instability in a lid-driven cavity by an adjoint based analysis},
publisher={Springer Netherlands},
pages={165-170},
%language={English}
%series={IUTAM Bookseries},
%editor={Schlatter, Philipp and Henningson, Dan S.},
%doi={10.1007/978-90-481-3723-7_25},
%url={http://dx.doi.org/10.1007/978-90-481-3723-7_25},
%isbn={978-90-481-3722-0},
}
@article{freq_damp,
   author = "{\AA}kervik, E. and Brandt, L. and Henningson, D.S. and H{\oe}pffner, J. and Marxen, O. and Schlatter, P.",
   title = "Steady solutions of the {N}avier-{S}tokes equations by selective frequency damping",
   journal = "Physics of Fluids",
   year = "2006",
   volume = "18",
   number = "6",
  % eid = 068102,
%   pages = "-",
%   url = "http://scitation.aip.org/content/aip/journal/pof2/18/6/10.1063/1.2211705",
%   doi = "http://dx.doi.org/10.1063/1.2211705"
}

@article{Barkley_Floquet,
author = {Barkley, D. and Henderson, R.D.},
title = {Three-dimensional {F}loquet stability analysis of the wake of a circular cylinder},
journal = {Journal of Fluid Mechanics},
volume = {322},
year = {1996},
pages = {215--241},
%issn = {1469-7645},
%month = {9},
%numpages = {27},
%doi = {10.1017/S0022112096002777},
%URL = {http://journals.cambridge.org/article_S0022112096002777},
}

@article{Soria_DMD,
author={Duke, D. and Soria, J. and Honnery, D.},
year={2012},
journal={Experiments in Fluids},
volume={52},
number={2},
title={An error analysis of the dynamic mode decomposition},
pages={529-542},
%url={http://dx.doi.org/10.1007/s00348-011-1235-7},
%publisher={Springer-Verlag},
%doi={10.1007/s00348-011-1235-7},
%issn={0723-4864},
}

@article{Edwards199482,
author = "W.S. Edwards and L.S. Tuckerman and R.A. Friesner and D.C. Sorensen",
title = "Krylov Methods for the Incompressible {N}avier-{S}tokes Equations ",
journal = "Journal of Computational Physics ",
volume = "110",
number = "1",
pages = "82 - 102",
year = "1994",
%note = "",
%issn = "0021-9991",
%doi = "http://dx.doi.org/10.1006/jcph.1994.1007",
%url = "http://www.sciencedirect.com/science/article/pii/S0021999184710072",
}

@article{centrifugal_insta,
   author = "Albensoeder, S. and Kuhlmann, H. C. and Rath, H. J.",
   title = "Three-dimensional centrifugal-flow instabilities in the lid-driven-cavity problem",
   journal = "Physics of Fluids (1994-present)",
   year = "2001",
   volume = "13",
   number = "1",
   pages = "121-135",
%   url = "http://scitation.aip.org/content/aip/journal/pof2/13/1/10.1063/1.1329908",
%   doi = "http://dx.doi.org/10.1063/1.1329908"
}

@article{Delic,
author = "A. Deliceo\u{g}lu and S.H. Ayd{\i}n",
title = "Flow bifurcation and eddy genesis in an L-shaped cavity ",
journal = "Computers \& Fluids ",
volume = "73",
number = "0",
pages = "24 - 46",
year = "2013"
}
@article{Delic2,
author = "A. Deliceo\u{g}lu and S.H. Ayd{\i}n",
title = "Topological flow structures in an L-shaped cavity with horizontal motion of the upper lid ",
journal = "Journal of Computational and Applied Mathematics ",
volume = "259, Part B",
number = "0",
pages = "937 - 943",
year = "2014",
}

@article{BAGHERI_Jet,
author = {Bagueri,S. and Schlatter,P. and Schmid,P.J. and Henningson,D.S.},
title = {Global stability of a jet in crossflow},
journal = {Journal of Fluid Mechanics},
volume = {624},
month = {4},
year = {2009},
issn = {1469-7645},
pages = {33--44},
}

% transient growth linear regime

@article{MONOKROUSOS_2010,
author = {Monokrousos,A. and {\AA}kervik,E. and Brandt,L. and Henningson,D.S.},
title = {Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers},
journal = {Journal of Fluid Mechanics},
volume = {650},
month = {5},
year = {2010},
issn = {1469-7645},
pages = {181--214},
}

@article{CHERUBINI_2010,
author = {Cherubini,S. and Robinet,J.C. and Bottaro,A. and De Palma,P.},
title = {Optimal wave packets in a boundary layer and initial phases of a turbulent spot},
journal = {Journal of Fluid Mechanics},
volume = {656},
month = {8},
year = {2010},
issn = {1469-7645},
pages = {231--259},
}

%% transient growth Non linear

@article{Pringle,
  title = {Using Nonlinear Transient Growth to Construct the Minimal Seed for Shear Flow Turbulence},
  author = {Pringle, C.C.T. and Kerswell, R.R.},
  journal = {Physical Review Letters},
  volume = {105},
  issue = {15},
  pages = {154502},
  year = {2010},
}

@article{Monokrousos_PRL,
  title = {Nonequilibrium Thermodynamics and the Optimal Path to Turbulence in Shear Flows},
  author = {Monokrousos, A. and Bottaro, A. and Brandt, L. and Di Vita, A. and Henningson, D.S.},
  journal = {Physical Review Letters},
  volume = {106},
  issue = {13},
  pages = {134502},
  year = {2011},
}


@article{Cherubini_2011,
author = {Cherubini,S. and De Palma,P. and Robinet,J.C. and Bottaro,A.},
title = {The minimal seed of turbulent transition in the boundary layer},
journal = {Journal of Fluid Mechanics},
volume = {689},
month = {12},
year = {2011},
issn = {1469-7645},
pages = {221--253},
}


%@article{FLM:9087816,
%author = {Cherubini,S. and Robinet,J.-C. and De Palma,P.},
%title = {Nonlinear control of unsteady finite-amplitude perturbations in the Blasius boundary-layer flow},
%journal = {Journal of Fluid Mechanics},
%volume = {737},
%month = {12},
%year = {2013},
%issn = {1469-7645},
%pages = {440--465},
%numpages = {26},
%doi = {10.1017/jfm.2013.576},
%URL = {http://journals.cambridge.org/article_S0022112013005764},
%}

@article{Crouch2007,
author = "J.D. Crouch and A. Garbaruk and D. Magidov",
title = "Predicting the onset of flow unsteadiness based on global instability ",
journal = "Journal of Computational Physics ",
volume = "224",
number = "2",
pages = "924 - 940",
year = "2007",
}

@article{SparsityDMD,
   author = "Jovanovi\'{c}, M.R. and Schmid, P.J. and Nichols, J.W.",
   title = "Sparsity-promoting dynamic mode decomposition",
   journal = "Physics of Fluids",
   year = "2014",
   volume = "26",
   number = "2",
}
